Sophie has factored the term completely while Carlos has not factored the term completely.
Step-by-step explanation:
We need to factor the trinomial:
Factoring:
So, the factored form of is
So, Sophie has factored the term completely. The terms are factored when we cannot further simplify it. Since Carlos factored (x+3)(-4x+2) 2 can be taken common from the term (-4x+2) so, it is not factored completely.
Keywords: Factoring the terms
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I hope this helps you
By graphing the polynomial, we conclude that there is only one real root, so the correct option is A.
<h3>How many roots has the given polynomial?</h3>
We have the polynomial:
To see how many real roots this polynomial has, we can graph it and see how many times the graph intercepts the x-axis.
The graph can be seen below:
There we can see that there is only one intercept, so there is only one real root.
So the correct option is A.
If you want to learn more about polynomials:
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